On sample-based functional observability of linear systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916817289609216 |
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| author | Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. |
| author_facet | Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. |
| contents | Sample-based observability characterizes the ability to reconstruct the internal state of a dynamical system by using limited output information, i.e., when measurements are only infrequently and/or irregularly available. In this work, we investigate the concept of functional observability, which refers to the ability to infer a function of the system state from the outputs, within a samplebased framework. Here, we give necessary and sufficient conditions for a system to be sample-based functionally observable, and formulate conditions on the sampling schemes such that these are satisfied. Furthermore, we provide a numerical example, where we demonstrate the applicability of the obtained results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On sample-based functional observability of linear systems Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. Systems and Control Sample-based observability characterizes the ability to reconstruct the internal state of a dynamical system by using limited output information, i.e., when measurements are only infrequently and/or irregularly available. In this work, we investigate the concept of functional observability, which refers to the ability to infer a function of the system state from the outputs, within a samplebased framework. Here, we give necessary and sufficient conditions for a system to be sample-based functionally observable, and formulate conditions on the sampling schemes such that these are satisfied. Furthermore, we provide a numerical example, where we demonstrate the applicability of the obtained results. |
| title | On sample-based functional observability of linear systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2506.23744 |